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BabaBlast [244]
3 years ago
11

The mean of 15 numbers is 12. An extra number is included and the mean increases to 13. What the extra number?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer: 28

Step-by-step explanation:

The mean of 15 numbers = 12

Then , the sum of the numbers = 12x15 = 180

Let the extra number included be x , then

The new sum = x + 180

And the new total number will increase from 15 to 16

new mean = 13 , so we have :

\frac{x+180}{16} = 13

x+ 180 = 16(13)

x + 180 = 208

x = 208 - 180

x = 28

therefore , the extra number is 28

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Answer:

A square is a rectangle.

Step-by-step explanation:

A square is a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Which means, every square is a rectangle because it is a quadrilateral with all four angles right angles.

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3 years ago
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If i have 480 grams of pasta for 4 people how many kilograms will i need for 14 people
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7 0
3 years ago
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olga55 [171]
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3 years ago
On a coordinate plane, a line goes through (0, negative 3) and (3, negative 2). A point is at (negative 4, 2).
bulgar [2K]

Answer:

Correct option: first one -> y = (1/3)x + (10/3)

Step-by-step explanation:

The linear function that represents a line is:

y = ax + b

Where a is the slope and b is the y-intercept.

First we need to find the slope of the line that goes through (0, -3) and (3, -2).

Using both points, we can find the equation of the line:

x = 0 -> y = -3

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b = -3

x = 3 -> y = -2

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The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:

y = (1/3)x + b

The parallel line goes through the point (-4, 2), so we have:

x = -4 -> y = 2

2 = (1/3)*(-4) + b

b = 2 + (4/3)

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So the equation of the parallel line is:

y = (1/3)x + (10/3)

Correct option: first one

5 0
3 years ago
PLS HELP BRAINLIEST FOR CORRECT ANSWER+20 POINTS
svetoff [14.1K]

Answer:

120 blocks total

Step-by-step explanation:

All of the little cubes have side length 2"  Thus, the 11" height of the box cannot be used entirely:  we waste the top 1" because the five layers of little cubes reach only to 10" from the bottom.

Start at the bottom of the box.  The dimensions of the bottom are 12" by 8".  Along the longer side we can lay 6 blocks (which add up to 12" and are 2" wide.  We can add 3 more such rows to fill the available 8" width of the box bottom.  That's 6*4, or 24 blocks.

We can add 4 more 6 block by 4 block layers before we have the maximum 5 layers stacked in the box.

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